A geologist has collected 19 specimens of basaltic rock and 19 specimens of granite. The geologist instructs a laboratory assistant to randomly select 33 of the specimens for analysis. (a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places.) P(x) (b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your answer to four decimal places.) (c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A geologist has collected 19 specimens of basaltic rock and 19 specimens of granite. The geologist instructs a laboratory
assistant to randomly select 33 of the specimens for analysis.
(a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal
places.)
P(x)
(b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your
answer to four decimal places.)
(c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its
mean value? (Round your answer to four decimal places.)
Transcribed Image Text:A geologist has collected 19 specimens of basaltic rock and 19 specimens of granite. The geologist instructs a laboratory assistant to randomly select 33 of the specimens for analysis. (a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places.) P(x) (b) What is the probability that all specimens of one of the two types of rock are selected for analysis? (Round your answer to four decimal places.) (c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (Round your answer to four decimal places.)
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